it's not 21/2 it's 2 and 1/2

Step by step please? Cannot solve

it's not 21/2 it's 2 and 1/2

Step by step please? Cannot solve

Tutors, please sign in to answer this question.

Tori, find you have to focus on the mixed number in the equation, that is, 2½. It is preferable to convert this mixed number into a fraction. First, multiply the denominator 2 by the whole number 2. Then add 1 to the product.

2½ = (2 * 2 + 1)/2 = 5/2

Now, the equation is written as 3[(3/4)*x* + (5/2)] = 5*x*.

The next step is the use of the distributive property on the left side of the equation. You have to multiply 3 to each term between the brackets.

3[(3/4)*x*] + 3(5/2) = 5*x*

(9/4)*x* + (15/2) = 5*x*

Since there are fractions seen on the preceding step, it is convenient to get rid of these rational numbers multiplying each term in the equation by the least common denominator (LCD) of the terms. Focusing on each denominator, where the term 5*x* can be re-written as (5*x*/1), the LCD of the denominators is 4. (This value is found by finding the least common multiple of each denominator.) The LCD is then multiplied by each term.

4[(9/4)*x* + 4(15/2)] = (5*x*)(4)

4[(9/4)*x*] + 4(15/2) = 20*x*

(36/4)*x* + (60/2) = 20*x*

9*x* + 30 = 20*x*

Now comes the part where the like terms are used. For the next step, subtract 9*x* on both sides.

9*x* + 30 - 9*x* = 20*x* - 9*x*

30 = 11*x*

Now divide each side by 11.

30 / 11 = 11*x* / 11

30/11 = *x*

Cassandra K.

Creative and Engaging Math and English Tutor

New York, NY

5.0
(295 ratings)

Amaan M.

Math/Economics Teacher

New York, NY

5.0
(68 ratings)

Michael E.

H.S. Mathematics Tutor (Certified NJ Teacher)

Saddle Brook, NJ

5.0
(121 ratings)